Details

analyze221.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

sample71.0ms

Algorithm

intervals

Results

34.0ms	62×	body	1280	valid
12.0ms	36×	body	640	valid
10.0ms	130×	body	80	valid
5.0ms	22×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	9×	body	80	invalid
0.0ms	6×	body	80	overflowed

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4915	27
1	4915	27

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 29.2b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x))))
0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1.0 eps) x)))
0.0b	(exp.f64 (neg.f64 (*.f64 (-.f64 1.0 eps) x)))
0.2b	(-.f64 (.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x)))) (.f64 (-.f64 (/.f64 1.0 eps) 1.0) (exp.f64 (neg.f64 (.f64 (+.f64 1.0 eps) x)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-sub_binary64`
78×	`exp-neg_binary64`
76×	`frac-times_binary64`
59×	`neg-sub0_binary64` `exp-diff_binary64`
38×	`associate-r/_binary64` `associate-l/_binary64`
30×	`flip3-+_binary64` `flip-+_binary64`
28×	`flip3--_binary64` `flip--_binary64`
19×	`un-div-inv_binary64`
12×	`exp-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`
4×	`associate-l_binary64` `rem-exp-log_binary64`
3×	`associate-r_binary64`
2×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `neg-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 154

Calls

4 calls:

12.0ms	(.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x))))
3.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1.0 eps) x)))
4.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1.0 eps) x)))
20.0ms	(-.f64 (.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x)))) (.f64 (-.f64 (/.f64 1.0 eps) 1.0) (exp.f64 (neg.f64 (.f64 (+.f64 1.0 eps) x)))))

series87.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x))))
7.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1.0 eps) x)))
7.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1.0 eps) x)))
60.0ms	(-.f64 (.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x)))) (.f64 (-.f64 (/.f64 1.0 eps) 1.0) (exp.f64 (neg.f64 (.f64 (+.f64 1.0 eps) x)))))

simplify133.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4950	6540
1	4950	6540

prune242.0ms

Filtered

90 candidates to 166 candidates (-84.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	165	3	168

Merged error: 0.2b

Counts

168 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 0.6666666666666667 (pow.f64 x 3))
6.4b	(-.f64 (+.f64 (.f64 0.6666666666666667 (pow.f64 x 3)) 2.0) (.f64 1.0 (*.f64 x x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-l_binary64` `prod-exp_binary64`
2×	`pow1_binary64` `diff-log_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

2 → 44

Calls

2 calls:

6.0ms	(*.f64 0.6666666666666667 (pow.f64 x 3))
9.0ms	(-.f64 (+.f64 (.f64 0.6666666666666667 (pow.f64 x 3)) 2.0) (.f64 1.0 (*.f64 x x)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 0.6666666666666667 (pow.f64 x 3))
6.0ms	(-.f64 (+.f64 (.f64 0.6666666666666667 (pow.f64 x 3)) 2.0) (.f64 1.0 (*.f64 x x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4924	450
1	4924	450

prune54.0ms

Filtered

31 candidates to 50 candidates (-61.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0.2b

Counts

53 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (.f64 x (-.f64 (*.f64 0.6666666666666667 x) 1.0)))
0.0b	(.f64 x (-.f64 (.f64 0.6666666666666667 x) 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`sub-neg_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 46

Calls

2 calls:

9.0ms	(.f64 x (.f64 x (-.f64 (*.f64 0.6666666666666667 x) 1.0)))
7.0ms	(.f64 x (-.f64 (.f64 0.6666666666666667 x) 1.0))

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(.f64 x (.f64 x (-.f64 (*.f64 0.6666666666666667 x) 1.0)))
7.0ms	(.f64 x (-.f64 (.f64 0.6666666666666667 x) 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5235	490

prune51.0ms

Filtered

35 candidates to 52 candidates (-48.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.2b

Counts

56 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 0.6666666666666667 (.f64 x x))
0.6b	(cbrt.f64 x)
0.8b	(pow.f64 (cbrt.f64 x) 3)
6.4b	(-.f64 (+.f64 (.f64 (.f64 0.6666666666666667 (.f64 x x)) (pow.f64 (cbrt.f64 x) 3)) 2.0) (.f64 1.0 (*.f64 x x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 73

Calls

4 calls:

8.0ms	(.f64 0.6666666666666667 (.f64 x x))
1.0ms	(cbrt.f64 x)
3.0ms	(pow.f64 (cbrt.f64 x) 3)
14.0ms	(-.f64 (+.f64 (.f64 (.f64 0.6666666666666667 (.f64 x x)) (pow.f64 (cbrt.f64 x) 3)) 2.0) (.f64 1.0 (*.f64 x x)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(.f64 0.6666666666666667 (.f64 x x))
17.0ms	(cbrt.f64 x)
28.0ms	(pow.f64 (cbrt.f64 x) 3)
9.0ms	(-.f64 (+.f64 (.f64 (.f64 0.6666666666666667 (.f64 x x)) (pow.f64 (cbrt.f64 x) 3)) 2.0) (.f64 1.0 (*.f64 x x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4908	531
1	4908	531

prune66.0ms

Filtered

49 candidates to 85 candidates (-73.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	85	4	89

Merged error: 0.2b

Counts

89 → 4

regimes118.0ms

Accuracy

96.4% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 16.5b

bsearch67.0ms

Steps

Iters	Range		Point
9	69.96252274476456	299340061.5779964	312.8937051629594

simplify11.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	499	44
1	499	44

end0.0ms

sample2.1s

Algorithm

intervals

Results

892.0ms	1667×	body	1280	valid
426.0ms	1263×	body	640	valid
311.0ms	4089×	body	80	valid
155.0ms	644×	body	320	valid
50.0ms	337×	body	160	valid
20.0ms	249×	body	80	invalid
15.0ms	194×	body	80	overflowed
9.0ms	17×	body	1280	invalid
6.0ms	16×	body	640	invalid
2.0ms	8×	body	320	invalid
1.0ms	4×	body	160	invalid

Details

analyze221.0ms

sample71.0ms

simplify69.0ms

prune9.0ms

localize16.0ms

rewrite49.0ms

series87.0ms

simplify133.0ms

prune242.0ms

localize9.0ms

rewrite17.0ms

series11.0ms

simplify46.0ms

prune54.0ms

localize7.0ms

rewrite18.0ms

series17.0ms

simplify40.0ms

prune51.0ms

localize11.0ms

rewrite28.0ms

series58.0ms

simplify54.0ms

prune66.0ms

regimes118.0ms

bsearch67.0ms

simplify11.0ms

end0.0ms

sample2.1s

Profiling